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Critical 2-dimensional Ising model: local statistics and combinatorics via dimers

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In the first part of the talk, we shall review Fisher’s correspondence relating the critical 2-dimensional Ising model and the dimer model on a related graph. Then, we shall mention local statistics results obtained in collaboration with Cedric Boutillier, which suggest a relation between Ising configurations and spanning trees. Finally, we shall exhibit an explicit correspondence between the two models.

This talk is part of the Probability series.

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